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Nadya [2.5K]
3 years ago
11

A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g

round. If the angle of depression from the person on the building is 30°, how tall is the building?
Mathematics
1 answer:
kvasek [131]3 years ago
5 0

Answer:

520 feets

Step-by-step explanation:

The height of the building, h can be obtuined using trigonometry ;

From the attached diagram, opposite side = 300 feets ; height, h = adjacent side

Hence,

Tan θ = opposite / Adjacent

Tan 30° = 300 / height

0.5773502 = 300 / height

Height = 300 / 0.5773502

Height = 519.615

Height = 520 feets

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Identify the slope and the y-intercept of the linear equation. Y=4x+7
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Answer:

Hey there!

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3 years ago
What is the equation for this line
pogonyaev

The equation of the line is y=\frac{-1}{5} x-\frac{21}{5}.

Solution:

The points on the line are (–6, –3) and (4, –5).

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Slope of the line:

 $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

 $m=\frac{-5-(-3)}{4-(-6)}

 $m=\frac{-5+3}{4+6}

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$m=\frac{-1}{5}

Point-slope formula:

 y-y_{1}=m\left(x-x_{1}\right)

 $y-(-3)=\frac{-1}{5}(x-(-6))

 $y+3=\frac{-1}{5}(x+6)

 $y+3=\frac{-1}{5} x-\frac{6}{5}

Subtract 3 from both sides of the equation.

$y=\frac{-1}{5} x-\frac{21}{5}

The equation of the line is  y=\frac{-1}{5} x-\frac{21}{5}.

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